Title: An example of Hilbert's Irreducibility Theorem
Speaker: Michael Filaseta
Abstract: We give a brief overview of Hilbert's Irreducibility Theorem. The main purpose of the talk is to provide an informative example that will help with understanding how Hilbert's Irreducibility Theorem is a consequence of Siegel's Theorem. For the example, we will use the polynomial f(x,y) = x^4 + (y+8) x - y^2 - y, and show that this polynomial is irreducible as a polynomial in x over the integers for an integer y if and only if y is not in the set { -96, -39, -3, -1, 0, 3, 7, 32, 105 }.
Title:
Speaker: Michael Filaseta
Abstract:
Title:
Speaker:
Abstract:
Title:
Speaker: Stephen Gagola
Abstract:
Title:
Speaker: Ognian Trifonov
Abstract:
Title:
Speaker:
Abstract:
Title:
Speaker:
Abstract:
Title: Possible Mini-Research Talks by Number Theory Faculty
Speaker:
Abstract: